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Finding the Fourth Proportional to 854.74, 1,282.11 and 673.10

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Solution

The fourth proportional to 854.74, 1,282.11 and 673.10 is: 1,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.74 : 1,282.11 = 673.10 : x
  2. Step 2: Convert to fraction form
    854.74/1,282.11 = 673.10/x
  3. Step 3: Cross multiply
    854.74x = 1,282.11 × 673.10
  4. Step 4: Simplify right side
    854.74x = 862,988.24
  5. Step 5: Solve for x
    x = 862,988.24/854.74
  6. Step 6: Final answer
    x = 1,009.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.